mathsurgery - Mental calculations and checking year 8

All
• Understand and use the rules of arithmetic and inverse operations in the context of positive integers and decimals
• Use the order of operations, including brackets
• Strengthen and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple problems mentally
• Recall number facts, including positive integer complements to 100 and multiplication facts to 10 × 10, and quickly derive associated division facts
• Check results by considering whether they are of the right order of magnitude and by working problems backwards

Most
• Try out and compare mathematical representations
• Understand and use the rules of arithmetic and inverse operations in the context of integers and fractions
• Use the order of operations, including brackets, with more complex calculations
• Strengthen and extend mental methods of calculation, working with decimals, fractions, percentages, squares and square roots, and cubes and cube roots; solve problems mentally
• Recall equivalent fractions, decimals and percentages; use known facts to derive unknown facts, including products involving numbers such as 0.7 and 6, and 0.03 and 8
• Make and justify estimates and approximations of calculations
• Select from a range of checking methods, including estimating in context and using inverse operations

Some
• Recognise the impact of constraints or assumptions
• Understand the effects of multiplying and dividing by numbers between 0 and 1; consolidate use of the rules of arithmetic and inverse operations
• Understand the order of precedence of operations, including powers
• Use known facts to derive unknown facts; extend mental methods of calculation, working with decimals, fractions, percentages, factors, powers and roots; solve problems mentally
• Check results using appropriate methods

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Mental calculations and checking year 8